Force distributions in a triangular lattice of rigid bars

Details Force distributions in a triangular lattice of rigid bars Force distributions in a triangular lattice of rigid bars

2005-04-29

arxiv.org/abs/cond-mat/0505003v2

Physics

Condensed Matter

Soft Condensed Matter

11 pages, 17 figures Minor text revisions; added references and acknowledgment

Scientific paper

10.1103/PhysRevE.72.031306

We study the uniformly weighted ensemble of force balanced configurations on a triangular network of nontensile contact forces. For periodic boundary conditions corresponding to isotropic compressive stress, we find that the probability distribution for single-contact forces decays faster than exponentially. This super-exponential decay persists in lattices diluted to the rigidity percolation threshold. On the other hand, for anisotropic imposed stresses, a broader tail emerges in the force distribution, becoming a pure exponential in the limit of infinite lattice size and infinitely strong anisotropy.

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